Number of the day: 8346

Properties of the number 8346:

8346 = 2 × 3 × 13 × 107 is the 7300^th composite number and is squarefree.
8346 has 4 distinct prime factors, 16 divisors, 7 antidivisors and 2544 totatives.
8346 has a semiprime digit sum 21 in base 10.
8346 has a Fibonacci digit sum 21 in base 10.
8346 has a triangular digit sum 21 in base 10.
8346 is the difference of 2 positive pentagonal numbers in 3 ways.
8346 = 4² + 49² + 77² is the sum of 3 positive squares.
8346² = 3210² + 7704² is the sum of 2 positive squares in 1 way.
8346² is the sum of 3 positive squares.
8346 is a proper divisor of 857² - 1.
8346 is palindromic in (at least) the following bases: 43, and 56.
8346 in base 7 = 33222 and consists of only the digits '2' and '3'.
8346 in base 34 = 77g and consists of only the digits '7' and 'g'.
8346 in base 42 = 4UU and consists of only the digits '4' and 'U'.
8346 in base 43 = 4M4 and consists of only the digits '4' and 'M'.
8346 in base 55 = 2ff and consists of only the digits '2' and 'f'.
8346 in base 56 = 2b2 and consists of only the digits '2' and 'b'.

The number 8346 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A022268: a(n) = n*(11*n - 1)/2.
A041746: Numerators of continued fraction convergents to sqrt(393).
A129025: See Mathematica code.
A213271: Costas arrays such that the corresponding permutation is a derangement.
A216423: Numbers k such that 4^k + k^4 + 1 is prime.
A217390: Numbers n such that sum of squares of digits of n equals the sum of prime divisors of n.
A252407: T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 2 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 2 3 4 6 or 7
A269967: Indices of zeros in A269783.
A330791: Values of k such that A005132(k) (the k-th number in the Recamn sequence) divides k.
A341477: Coefficients related to the asymptotics of generalized Delannoy numbers.